# Tired legs

Calculus Level 1

Frederick begins to walk a distance of $$100\text{ m}.$$ But he is so tired that, in the first minute, he covers $$50\text{ m}.$$ In the next minute, he covers half of the remaining distance, i.e. $$25\text{ m}.$$ Again, in the next minute, he covers half of the remaining distance, which $$12.5\text{ m},$$ and so on.

Will Frederick be able to complete the $$100\text{ m}?$$

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